The product of 8 and the sum of 4 and a number is 112. What is the number?Which equation could be used to solve for the number?
8 + 4n = 112
8 x 4 + n = 112
8(4 + n) = 112

Answers

Answer 1

Answer:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is

8(4 + n) = 112.

The number n is 10.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 4 = 5 is an equation

3x + 9 is an equation.

We have,

The product of 8 and the sum of 4 and a number is 112.

Let the number be n.

We can write as:

8 x (4 + n) = 112 _____(1)

8 x 4 + 8 x n = 112

32 + 8n = 112

Subtract 32 on both sides.

8n = 112 - 32

8n = 80

Divide both sides by 8.

n = 10

The number is 10.

We can cross-check

8 x (4 + 10 ) = 112

8 x 14 = 112

112 = 112

Proved.

Thus,

The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is

8(4 + n) = 112.

The number n is 10.

Learn more about equations here:

brainly.com/question/17194269

#SPJ5

Answer 2

Answer: 8(n + 4) = 112
8(n) + 8(4) = 112
8n + 32 = 112
- 32 - 32
8n = 80
8 8
n = 10

The answer is C.

Related Questions

Have you ever worked with variables? Algebra is a branch of mathematics that specifically deals with the idea of using variables to solve problems. What kinds of problems have you already solved using variables? Do you know any real-life applications for variables?Think about the numbers you encounter in the world around you. Do you understand what they really mean? Interactions at grocery stores, gas stations, and online shopping commonly involve numbers. These interactions can be better understood using algebra. Is there anything you don’t know involving numbers that you wish you better understood?
At a local gardening store, a palm tree is 1.2 ft taller than acactus. The palm tree is 4.9 ft tall. Use the equation 4.9 = c + 1.2to find the height in feet, c, of the cactus. Show your work.
When constructing parallel lines with a compass and straightedge, how should you start the construction?
Help on geometry odds only
A certain type of nuts are on sale at 0.35 per pound.Tamara buys 0.2 pound of nuts.How much will the nuts cost?

Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000(1+0.0375)

Answers

Answer:

It is B. Porsha's expression should have 1 + 0.009375 in the parentheses.

Step-by-step explanation:

I got it in the test

The formula for annual compound interest is A = P (1 + r/n) ^ nt:

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

A = P (1 + r/n) ^ nt

A= 5000(1+0.0375/4)^4*6

A= 5000(1+0.0375/4)^24

A=$6255.05 (future Value)

ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP

Answers

Answer:

first quest anwser 2 second qusection anwser 1 and thrid question 1 agian

Step-by-step explanation:

In the diagram, Line AB is divided into eight equal parts. What are the coordinates of point A?

Answers

I would think that it would take place in quadrant 2

If the ratio of men to women in a movie theater is 1.00 when written as a decimal, what must be true?

Answers

what must be true? answer is The ratio of women to men in the theater is 0.50 and this because it would be Number of Men is 1 = Number of Women = 1. Total people = 2. Ratio of women to total = 1

Answer:it’s actually ratio of women to total people in the theater is 0.50

Step-by-step explanation:

A ratio of 1.00 for men to Women indicates that the number of men is equal to the number of women. In other words half of the people in the theater are men and the other half or women. Therefore, the ratio of women to total people must be 1/2 = 0.50

How do i learn algebra

Answers

You can use online resources such as khanacademy.org to learn algebra :) There are many websites and books that you can get from the library that can teach you some of the basic information that you will need to know.
Good luck :)

Its a little something cLled the internet

A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.